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Finding the Fourth Proportional to 68,409.60, 102,679.20 and 42,165.60

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Solution

The fourth proportional to 68,409.60, 102,679.20 and 42,165.60 is: 63,288.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,409.60 : 102,679.20 = 42,165.60 : x
  2. Step 2: Convert to fraction form
    68,409.60/102,679.20 = 42,165.60/x
  3. Step 3: Cross multiply
    68,409.60x = 102,679.20 × 42,165.60
  4. Step 4: Simplify right side
    68,409.60x = 4,329,530,075.52
  5. Step 5: Solve for x
    x = 4,329,530,075.52/68,409.60
  6. Step 6: Final answer
    x = 63,288.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.